Question

The length of a rectangle is (3x2 + x - 3) units, and its width is (2x3 - 4x + 3) units.

Part A: What is the area of the rectangle? Show your work. (5 points)

Part B: Does the answer for Part A show that polynomials are closed under an operation? Justify your answer. (3 points)

Part C: What is the degree and classification of the expression obtained in Part A? (2 points)

Answer 1

I have the answer to part A and part C just Not part B

Answer 2

So what is the area?

Answer 3

Part A~ 16x^5+2x^4-18x^3+5x^2+15x-9

Answer 4

Ok, so something with variable terms like that is called a "polynomial".

Answer 5

And the "degree" of a polynomial is the highest power of x present.

Answer 6

Yeah For part c I have 5th degree polynomial, I just dont understand part b

Answer 7

Oh, sorry. I misread the question.

Answer 8

Its okay

Answer 9

@zepdrix @Luigi0210 Can you please help?

Answer 10

@ash2326 @ganeshie8

Answer 11

So for area you're applying multiplication, yes?

You dimesions were `a polynomial` and `another polynomial`.
When you multiplied them, you ended up with `a polynomial`, yes?

Answer 12

Yes

Answer 13

When you take two elements from a set, and perform an operation on them and always end up within the set, it means the set is `closed under that operation`.

Example: even + even = even.
So we would say that even numbers are closed under addition.

odd * odd = odd
odd numbers are closed under multiplication.

Answer 14

Okay so since it was polynomail*polynomail it would be that Polynomials are closed under multiplication?

Answer 15

Yes c: good.

Because we always end up with a polynomial when we do that multiplication.

Answer 16

Okay Thank you!